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Solve the equation 4^(x)- 5 xx2^(x) + 4 ...

Solve the equation `4^(x)- 5 xx2^(x) + 4 = 0.`

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To solve the equation \( 4^x - 5 \cdot 2^x + 4 = 0 \), we can follow these steps: ### Step 1: Rewrite the equation We start by rewriting \( 4^x \) in terms of \( 2^x \): \[ 4^x = (2^2)^x = (2^x)^2 \] So, we can rewrite the equation as: ...
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CENGAGE ENGLISH-THEORY OF EQUATIONS-ILLUSTRATION
  1. Solve sqrt(5x^(2) - 6x + 8) + sqrt(5x^(2) - 6x - 7) = 1

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  2. Solve (x^2-5x+7)-(x-2)(x-3)=1.

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  3. Solve the equation 4^(x)- 5 xx2^(x) + 4 = 0.

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  4. Solve the equation 12^x-56 x^2+89 x^2-56 x+12=0.

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  5. Solve the equation 3x^(2-x)+4x^2=25.

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  6. Solve the equation (x-1)^4+(x-5)^4=82.

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  7. Solve the equation (x+2)(x+3)(x+8)xx(x+12)=4x^2dot

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  8. If the roots of the equation x^2-8x+a^2-6a=0 are real distinct, then f...

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  9. If the roots of the equation a(b-c)x^2+b(c-a)x+c(a-b)=0 are equal, sho...

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  10. Prove that the roots of the equation (a^4+b^4)x^2+4a b c dx+(c^4+d^4)=...

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  11. If roots of equation x^3-2c x+a b=0 are real and unequal, then prove t...

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  12. Find the quadratic equation with rational coefficients whose one root ...

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  13. If f(x)=a x^2+b x+c ,g(x)=-a x^2+b x+c ,where ac!=0, then prove that f...

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  14. If a ,b ,c(a b c^2)x^2+3a^2c x+b^2c x-6a^2-a b+2b^2=0 ares rational.

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  15. If a gt 0 and b^(2) - 4 ac = 0 then solve ax^(3) + (a + b) x^(2) + (b ...

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  16. If a ,b ,a n dc are odd integers, then prove that roots of a x^2+b x+c...

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  17. If aa n dc are odd prime numbers and a x 62+b x+c=0 has rational roots...

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  18. Find the range of the fuction f(x) = x^(2) - 2x -4

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  19. Find the least value of ((6x^2-22 x+21))/((5x^2-18x+17)) for real xdot

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  20. Prove that if the equation x^2+9y^2-4x+3=0 is satisfied for real value...

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